10 papers
Relativistic Hamiltonian as an emergent structure from information geometry
Sikarin Yoo-Kong
We show that the relativistic energy-momentum relation can emerge as an effective ensemble-averaged structure from a multiplicative Hamiltonian when fluctuations of an auxiliary pa…
Lagrangian formalism and classical statistical ensemble
Sikarin Yoo-Kong
We present a formulation of classical statistical mechanics based on a Lagrangian description on the tangent bundle. In this approach, a Wick rotation from real time to imaginary t…
A Multiplicative Formulation of the Higgs Lagrangian and the Fermion Mass Hierarchy between the charged leptons and heavy quarks
Suppanat Supanyo, Sikarin Yoo-Kong, Lunchakorn Tannukij
We propose a multiplicative formulation of the Higgs Lagrangian, derived from the inverse problem in the calculus of variations, as an alternative framework to investigate the ferm…
The emergence of the relativistic Lagrangian from the non-relativistic multiplicative Lagrangian
Kittikun Surawuttinack, Suppanat Supanyo, Sikarin Yoo-Kong
The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the stan…
The -deformed Calogero's Goldfish Systems
Umpon Jairuk, Thanadon Kongkoom, Sikarin Yoo-Kong
Searching for integrable models is a central theme in theoretical and mathematical physics, as such systems offer valuable insights into the underlying structure and symmetries of…
Deriving Tsallis entropy from non-extensive Hamiltonian within a statistical mechanics framework
Paradon Krisut, Sikarin Yoo-Kong
The Tsallis entropy, which possesses non-extensive property, is derived from the first principle employing the non-extensive Hamiltonian or the -deformed Hamiltonian with the ca…